An effective field theory for coupled-channel scattering

Thomas D. Cohen, Boris A. Gelman, U. Van Kolck

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

The problem of describing low-energy two-body scattering for systems with two open channels with different thresholds is addressed in the context of an effective field theory. In particular, the problem where the threshold is unnaturally small and the cross section at low energy is unnaturally large is considered. It is shown that the lowest-order point coupling associated with the mixing of the channels scales as Λ-2 rather than Λ-1 (the scaling of the same-channel coupling and the scaling in a single-channel case) where Λ is the ultraviolet cutoff. The renormalization of the theory at lowest order is given explicitly. The treatment of higher orders is straightforward. The potential implications for systems with deep open channels are discussed.

Original languageEnglish (US)
Pages (from-to)57-66
Number of pages10
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume588
Issue number1-2
DOIs
StatePublished - May 20 2004

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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